Electrostatic transduction

Second equation of electrostatic coupling

The voltage across an electrostatic transducer is the sum of a DC component and an AC component u(t) : .

The electrical charge of an electrostatic transducer is therefore written,

By neglecting the second order terms:

By conserving only the AC component of this equation, and observing that the current i is the temporal derivative of the charge Q, and that the velocity of the membrane is the temporal derivative of the displacement , the temporal derivative of the coupling equation is written

In the harmonic domain , this equation is written

where is the electrostatic coupling factor

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